Simultaneous vision ophthalmic lens for correcting presbyopia and pair of ophthalmic lenses of this kind for the same wearer

ABSTRACT

To define a far vision area and a near vision area in a simultaneous vision ophthalmic lens for correcting presbyopia, the curve representing the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve with associated specific polynomial equations in which the coefficients depend on the proximity addition corresponding to the degree of presbyopia of the wearer. Either the far vision area or the near vision area is strengthened relative to the other, the corresponding surface areas S VL , S VP  being related as follows: 
     for strengthened near vision: 
     
         1.8≦S.sub.VL /S.sub.VP ≦3.6 
    
     and for strengthened far vision: 
     
         4.75≦S.sub.VL /S.sub.VP

BACKGROUND OF THE INVENTION Description of the Prior Art

French patent application No 89 01417 (publication No 2 642 854) describes a simultaneous vision ophthalmic lens for which the curve representing the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve associated with specific polynomial equations defining two distinct vision areas, a far vision area and a near vision area, with one or more intermediate vision areas between and continuous with them.

This ophthalmic lens can be implemented as a contact lens or an intraocular implant or an intracorneal lens and in practise has at least on aspherical side or incorporates an index gradient. It is more particularly intended for correcting presbyopia.

The parameters of the polynomial equations for the envelope curves of the curve representing its proximity depend closely on the proximity addition respective to the degree of presbyopia to be corrected.

In this French patent it is preferred that neither of the two far and near vision areas be larger than the other.

To this end the surface area S_(VL) of the far vision area and the surface area S_(VP) of the near vision area are related as follows:

    S.sub.VL /S.sub.VP ≧3                               (I)

This is satisfactory in most cases.

In some cases, however, near vision or far vision performance is found to be insufficient.

SUMMARY OF THE INVENTION

In one aspect the present invention consists in a simultaneous vision ophthalmic lens of the kind in which to define two distinct vision areas, one for far vision and the other for near vision, the curve representative of the proximity as a function of the distance from the axis lies within an area between a lower envelope curve and an upper envelope curve associated with specific polynomial equations, this ophthalmic lens being generally characterised in that either the far vision area or the near vision area is strengthened relative to the other, the respective surface areas S_(VL), S_(VP) being related as follows:

for strengthened near vision:

    1.8≦S.sub.VL /S.sub.VP ≦3.6                  (II)

and for strengthened far vision:

    4.75≦S.sub.VL /S.sub.VP                             (III)

In another aspect the invention consists in any matched pair of ophthalmic lenses for the same wearer, one for correcting the vision of the left eye and the other for correcting the vision of the right eye, in at least one of which lenses the near vision area or the far vision area is strengthened in this way relative to the other.

The ophthalmic lens with a strengthened vision area could be matched with a standard ophthalmic lens, i.e. an ophthalmic lens in which the near and far vision areas are equivalent.

Alternatively, it could be matched with an ophthalmic lens which also has a strengthened vision area, either the same vision area as itself or the other vision area.

This has the advantage of providing the best possible solution to the greatest number of problems.

Extending or reducing the near vision area, which can result in a non-unity ratio of surface areas between it and the far vision area, is already known, for example from published European patent application No 0 138 394.

However, apart from the fact that the surface area of thee near vision area is preferably equal to substantially half the surface area of the pupil of the wearer, this European patent application concerns a bifocal lens, i.e. a lens which has no intermediate vision area between its near and far vision areas.

This is not the case in the ophthalmic lens in accordance with the invention.

An asymmetrical arrangement of the near and far vision areas in the two ophthalmic lens intended for the same wearer has also been proposed, for example in published European patent application No 0 453 136.

However, this European patent application concerns a diffraction grating lens in which there is again no intermediate vision area.

The objects, features and advantages of the invention emerge from the following description given by way of example with reference to the accompanying diagrammatic drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a view in axial cross-section of an ophthalmic lens according to the invention.

FIGS. 2A, 2B, 2C, 2D are diagrams representing the proximity of this ophthalmic lens for respective different values of the addition when its near vision area is strengthened.

FIGS. 3A, 3B, 3C, 3D are diagrams respectively analogous to those of FIGS. 2A, 2B, 2C, 2D for the situation in which the far vision area of the ophthalmic lens is strengthened.

DESCRIPTION OF THE PREFERRED EMBODIMENT

As shown in the diagrams of FIGS. 2 and 3 and as described in French patent application No 2 642 854, the curve representing the proximity P of the lens 10 in accordance with the invention as a function of the far h from the axis A lies within an area between a lower envelope curve P_(inf) and an upper envelope curve P_(sup) associated with specific polynomial equations whose coefficients depend on the addition A_(DD) respective to the degree of presbyopia to be corrected.

It is thus possible to define in the lens two separate annular vision areas on respective opposite sides of an intermediate vision area Z_(VI), namely a far vision area Z_(VL) and a near vision area Z_(VP).

The far vision area Z_(VL) is preferably adjacent the peripheral part of the ophthalmic lens 10 while the near vision area Z_(VP) is preferably near its axis A.

The opposite arrangement may be adopted if desired, however.

Let h₁ and h₂ denote the values of the distance h between which the near vision area Z_(VP) lies and h₃ and h₄ denote the values of this distance h between which the far vision area Z_(VL) lies, the intermediate vision area Z_(VI) lying by definition between these areas and therefore between the values h₂ and h₃ of the distance h.

For practical reasons the value h₄ of the distance h is a maximal value related to the radius of the human pupil for a person suffering from presbyopia.

This radius is known to decrease with age, for the same luminance conditions.

The maximal value h₄ of the distance h is therefore related to the addition A_(DD) required by the wearer.

As shown in the diagrams of FIGS. 2 and 3, for example, it is equal to 2.5 mm for a proximity addition equal to 1.5 diopters (D) and is equal to 2.2 mm for a proximity addition A_(DD) greater than 1.5 diopters (D).

Also for practical reasons, the value h₁ of the distance h delimiting the near vision area Z_(VP) near the axis A is a minimal value.

Let S_(VP) denote the surface area of the near vision area Z_(VP) in which near vision images are formed correctly and S_(VL) denote the surface area of the far vision area Z_(VL) in which far vision images are formed correctly. ##EQU1##

In accordance with the invention, the far vision area Z_(VL) or the near vision area Z_(VP) is strengthened relative to the other area, the respective surface areas S_(VL), S_(VP) being related as follows:

for strengthened near vision:

    1.8≦S.sub.VL /S.sub.VP 3.6                          (II)

and for strengthened far vision:

    4.75≦S.sub.VL /S.sub.VP                             (III)

This is achieved by an appropriate choice of the coefficients of the polynomial equations for the lower envelope curve P_(inf) and the upper envelope curve P_(sup).

Particularly favourable results have been obtained when the lower envelope curve P_(inf) and the upper envelope curve P_(sup) satisfy the following polynomial equations: ##EQU2## in which P_(VL) is the proximity needed for far vision.

Particularly favorable results are obtained with substantially the values listed below for the coefficients A'_(i) and A"_(i), here in the case of strengthening of the near vision area Z_(VP) relative to the far vision area Z_(VL), for example:

    ______________________________________                                         for A.sub.DD = 1.5 D:                                                          A'.sub.0 = 1.50491                                                                               A".sub.0 = 2.04007                                           A'.sub.1 = -1.38224 × 10.sup.-1                                                            A".sub.1 = 4.87097 × 10.sup.-2                         A'.sub.2 = -8.56090 × 10.sup.-1                                                            A".sub.2 = -7.56137 × 10.sup.-1                        A'.sub.3 = 4.77223 × 10.sup.-1                                                             A".sub.3 = 3.28870 × 10.sup.-1                         A'.sub.4 = -1.07980 × 10.sup.-1                                                            A".sub.4 = -6.18287 × 10.sup.-2                        A'.sub.5 = 1.12726 × 10.sup.-2                                                             A".sub.5 = 5.58413 × 10.sup.-3                         A'.sub.6 = -4.47482 × 10.sup.-4                                                            A".sub.6 = -1.98243 × 10.sup.-4                        for A.sub.DD = 2 D:                                                            A'.sub.0 = 2.02242                                                                               A".sub.0 =  2.48815                                          A'.sub.1 = -6.40349 × 10.sup.-1                                                            A".sub.1 = 1.68157 × 10.sup.-1                         A'.sub.2 = -5.33753 × 10.sup.-1                                                            A".sub.2 = -1.19876                                          A'.sub.3 = 3.45296 × 10.sup.-1                                                             A".sub.3 = 5.83726 × 10.sup.-1                         A'.sub.4 = -7.89597 × 10.sup.-2                                                            A".sub.4 = -1.24851 × 10.sup.-1                        A'.sub.5 = 8.16828 × 10.sup.-3                                                             A".sub.5 = 1.27178 × 10.sup.-2                         A'.sub.6 = -3.20478 × 10.sup.-4                                                            A".sub.6 = -5.00502 × 10.sup.-4                        for A.sub.DD = 2.5 D:                                                          A'.sub.0 = 2.48274                                                                               A".sub.0 = 2.97168                                           A'.sub.1 = -8.68865 × 10.sup.-1                                                            A".sub.1 = -2.69412 × 10.sup.-1                        A'.sub.2 = -3.88790 × 10.sup.-1                                                            A".sub.2 = -8.19247 × 10.sup.-1                        A'.sub.3 = 2.79778 × 10.sup.-1                                                             A".sub.3 = 4.23097 × 10.sup.-1                         A'.sub.4 = -6.48836 × 10.sup.-2                                                            A".sub.4 = -9.28940 × 10.sup.-2                        A'.sub.5 = 6.77817 × 10.sup.-3                                                             A".sub.5 = 9.73358 × 10.sup.-3                         A'.sub.6 = -2.68852 × 10.sup.-4                                                            A".sub.6 = -3.94207 × 10.sup.-4                        for A.sub.DD = 3 D:                                                            A'.sub.0 = 3.20707                                                                               A".sub.0 = 3.72727                                           A'.sub.1 = -1.13298                                                                              A".sub.1 = -5.24234 × 10.sup.-1                        A'.sub.2 = -3.09307 × 10.sup.-1                                                            A".sub.2 = -7.92418 × 10.sup.-1                        A'.sub.3 = 2.18484 × 10.sup.-1                                                             A".sub.3 = 4.14478 × 10.sup.-1                         A'.sub.4 = -4.43817 × 10.sup.-2                                                            A".sub.4 = -8.98178 × 10.sup.-2                        A'.sub.5 = 4.04925 × 10.sup.-3                                                             A".sub.5 = 9.32974 × 10.sup.-3                         A'.sub.6 = -1.42370 × 10.sup.-4                                                            A".sub.6 = -3.76612 × 10.sup.-4                        ______________________________________                                    

In the FIG. 2A, 2B, 2C and 2D diagrams the proximity P in diopters (D) is plotted on the abscissa axis and the distance h in mm is plotted on the ordinate axis. The respective envelope curves P_(inf), P_(sup) for a distant vision proximity value P_(VL) equal to zero and an addition A_(DD) equal to 1.5 D for FIG. 2A, equal to 2D for FIG. 2B, equal to 2.5 D for FIG. 2C and equal to 3 D for FIG. 2D are shown in dashed line.

The envelope curves P_(inf) and P_(sup) for other, positive or negative values of the far vision proximity P_(VL) are deduced from those reproduced here by simple translation.

The diagrams also show in full line, between the envelope curves P_(inf) and P_(sup), a curve P_(nom) representing a nominal proximity which is particularly satisfactory.

This curve P_(nom) satisfies the equation: ##EQU3## with substantially the following values for the numerical coefficients A_(i), and the conditions otherwise as previously:

for A_(DD) =1.5 D:

A₀ =1.74537

A₁ =-1.41485×10⁻²

A₂ =-7.74395×10⁻¹

A₃ =3.78836×10⁻¹

A₄ =-7.92805×10⁻²

A₅ =7.88011×10⁻³

A₆ =-3.03496×10⁻⁴

for A_(DD) =2 D:

A₀ =2.25360

A₁ =-9.83461×10⁻²

A₂ =-1.05467

A₃ =5.47912×10⁻¹

A₄ =-1.18670×10⁻¹

A₅ =1.20372×10⁻²

A₆ =-4.68919×10⁻⁴

for A_(DD) =2.5 D:

A₀ =2.72749

A₁ =-2.39063×10⁻¹

A₂ =-9.80544×10⁻¹

A₃ =5.14985×10⁻¹

A₄ =-1.13158×10⁻¹

A₅ =1.17328×10⁻²

A₆ =-4.68365×10⁻⁴

for A_(DD) =3 D:

A₀ =3.47334

A₁ =-9.73082×10⁻¹

A₂ =-2.97809×10⁻¹

A₃ =1.70028×10⁻¹

A₄ =-3.05735×10⁻²

A₅ =2.58076×10⁻³

A₆ =-8.78906×10⁻⁵

Note that for each value of the addition A_(DD) the envelope curves P_(inf) and P_(sup) are generally similar to the respective nominal curve P_(nom), at least in their central region.

As explained in French patent application No 2 642 854, the person skilled in the art can use the proximity curves to determine either the front and rear surfaces of the ophthalmic lens 10 or its index gradient, in order for it to satisfy a proximity curve of this kind.

The rear side of the ophthalmic lens 10 in accordance with the invention is preferably a spherical surface, only the front side being shaped to obtain the required proximity curve.

This surface is then obviously an aspherical surface.

Alternatively, any combination of spherical or aspherical surfaces or of index gradients giving a proximity curve fitting between the indicated envelope curves P_(inf) and P_(sup) can be used.

In accordance with the invention, to strengthen the far vision area Z_(VL) relative to the near vision area Z_(VP), the coefficients A'_(i) and A"_(i) of the polynomial equations for the envelope curves P_(inf) and P_(sup) have substantially the following values:

    ______________________________________                                         for A.sub.DD = 1.5 D:                                                          A'.sub.0 = 1.97385                                                                               A".sub.0 = 2.61695                                           A'.sub.1 = -4.02882                                                                              A".sub.1 = -3.55654                                          A'.sub.2 = 2.96745                                                                               A".sub.2 = 2.28086                                           A'.sub.3 = -1.08765                                                                              A".sub.3 = -7.81238 × 10.sup.-1                        A'.sub.4 = 2.08906 × 10.sup.-1                                                             A".sub.4 = 1.46046 × 10.sup.-1                         A'.sub.5 = -2.00552 × 10.sup.-2                                                            A".sub.5 = -1.39278 × 10.sup.-2                        A'.sub.6 = 7.57585 × 10.sup.-4                                                             A".sub.6 = 5.27592 × 10.sup.-4                         for A.sub.DD = 2 D:                                                            A'.sub.0 = 2.75706                                                                               A".sub.0 = 3.39285                                           A'.sub.1 = -5.32047                                                                              A".sub.1 = -4.30158                                          A'.sub.2 = 3.78466                                                                               A" .sub.2 = 2.36050                                          A'.sub.3 = -1.34501                                                                              A".sub.3 = -6.73486 × 10.sup.-1                        A'.sub.4 = 2.51944 × 10.sup.-1                                                             A".sub.4 = 1.05232 × 10.sup.-1                         A'.sub.5 = -2.37123 × 10.sup.-2                                                            A".sub.5 = -8.53634 × 10.sup.-3                        A'.sub.6 = 8.81836 × 10.sup.-4                                                             A".sub.6 = 2.81049 × 10.sup.-4                         for A.sub.DD = 2.5 D:                                                          A'.sub.0 = 3.83883                                                                               A".sub.0 = 4.62363                                           A'.sub.1 = -7.19032                                                                              A".sub.1 = -5.52815                                          A'.sub.2 = 5.10383                                                                               A".sub.2 = 2.82720                                           A'.sub.3 = -1.81741                                                                              A".sub.3 = -7.59493 × 10.sup.-1                        A'.sub.4 = 3.41628 × 10.sup.-1                                                             A".sub.4 = 1.13108 × 10.sup.-1                         A' .sub.5 = -3.22755 × 10.sup.-2                                                           A".sub.5 = -8.84934 × 10.sup.-3                        A'.sub.6 = 1.20462 × 10.sup.-3                                                             A".sub.6 = 2.83891 × 10.sup.-4                         for A.sub.DD = 3 D:                                                            A'.sub.0 = 4.20262                                                                               A".sub.0 = 4.97173                                           A'.sub.1 = -6.12634                                                                              A".sub.1 = -4.36934                                          A'.sub.2 = 3.56706                                                                               A".sub.2 = 1.30259                                           A'.sub.3 = -1.09381                                                                              A".sub.3 = -7.49894 × 10.sup.-2                        A'.sub.4 = 1.84148 × 10.sup.-1                                                             A".sub.4 = -3.14113 × 10.sup.-2                        A'.sub.5 = -1.60397 × 10.sup.-2                                                            A".sub.5 = 5.74923 × 10.sup.-3                         A'.sub.6 = 5.63484 × 10.sup.-4                                                             A".sub.6 = -2.84487 × 10.sup.-4                        ______________________________________                                    

Given the same conditions as previously, the coefficients A_(i) of the polynomial equation for the corresponding nominal curve P_(nom) then have substantially the following values:

for A_(DD) =1.5 D:

A₀ =2.26107

A₁ =-3.84574

A₂ =2.68329

A₃ =-9.50930×10⁻¹

A₄ =1.78502×10⁻¹

A₅ =-1.68366×10⁻²

A₆ =6.26637×10⁻⁴

for A_(DD) =2 D:

A₀ =3.11044

A₁ =-4.89450

A₂ =3.08637

A₃ =-9.92432×10⁻¹

A₄ =1.71515×10⁻¹

A₅ =-1.51366×10⁻²

A₆ =5.34658×10⁻⁴

for A_(DD) =2.5 D:

A₀ =4.13733

A₁ =-6.26355

A₂ =3.96435

A₃ =-1.30970

A₄ =2.34695×10⁻¹

A₅ =-2.15039×10⁻²

A₆ =7.86718×10⁻⁴

for A_(DD) =3 D:

A0=4.61538

A1=-5.21075

A2=2.36892

A3=-5.47711×10⁻¹

A4=6.70385×10⁻²

A5=-4.04791×10⁻³

A6=9.12504×10⁻⁵

The values h₁, h₂, h₃, h₄ in mm are substantially as follows:

    ______________________________________                                                                 A = 2 D                                                                        A = 2.5 D                                                           A = 1.5 D  A = 3 D                                                ______________________________________                                         ophthalmic lens                                                                               h.sub.1 = 0.4                                                                               h.sub.1 = 0.4                                      with near vision                                                                              h.sub.2 = 1  h.sub.2 = 1                                        area Z.sub.VP  h.sub.3 = 1.8                                                                               h.sub.3 = 1.8                                      strengthened   h.sub.4 = 2.5                                                                               h.sub.4 = 2.2                                      ophthalmic lens                                                                               h.sub.1 = 0.4                                                                               h.sub.1 = 0.4                                      with far vision                                                                               h.sub.2 = 0.6                                                                               h.sub.2 = 0.6                                      area Z.sub.VL  h.sub.3 = 1.6                                                                               h.sub.3 = 1.4                                      strengthened   h.sub.4 = 2  h.sub.4 = 1.75                                     ______________________________________                                    

In accordance with the invention, at least one of a matched pair of ophthalmic lenses 10 for the same wearer, one for the left eye and the other for the right eye, has either vision area Z_(VP) or Z_(VL) strengthened relative to the other.

The other ophthalmic lens 10 of any such pair can be a standard ophthalmic lens 10, i.e. an ophthalmic lens whose near vision area Z_(VP) and far vision area Z_(VL) are equivalent, for example an ophthalmic lens of the type described in French patent application No 2 642 854, or both the ophthalmic lenses 10 can have either their near vision area Z_(VP) or their far vision area Z_(VL) strengthened relative to the other.

In this case, the vision area strengthened is the same for both ophthalmic lenses 10 constituting a pair, for example.

Alternatively, the vision area strengthened is the near vision area Z_(VP) for one of the ophthalmic lenses 10 and the, far vision area Z_(VL) for the other.

Of course, the present invention is not limited to the embodiment described and shown, but encompasses any variant execution thereof. 

There is claimed:
 1. Simultaneous vision ophthalmic lens for correcting presbyopia wherein to define two distinct vision areas, a far vision area and a near vision area, the curve representing the proximity P as a function of the distance h from the axis lies within an area between a lower envelope curve P_(inf) and an upper envelope curve P_(sup) with associated specific polynomial equations in which the coefficients depend on the proximity addition corresponding to the degree of presbyopia of the wearer, and either the far vision area or the near vision area is strengthened relative to the other, the corresponding far and near vision surface areas S_(VL), S_(VP) being related as follows:for strengthened near vision:

    1.8≦S.sub.VL /S.sub.VP ≦3.6

and for strengthened far vision:

    4.75≦S.sub.VL /S.sub.VP


2. Ophthalmic lens according to claim 1 wherein the lower envelope curve P_(inf) and the upper envelope curve P_(sup) for the proximity P satisfy the following polynomial equations: ##EQU4## in which P_(VL) is the proximity needed for far vision.
 3. Ophthalmic lens according to claim 2 wherein for a near vision area strengthened relative to the far vision area, the coefficients A'_(i) and A"_(i) have substantially the following values:

    ______________________________________                                         for a proximity addition of 1.5 D:                                             A'.sub.0 = 1.50491                                                                               A".sub.0 = 2.04007                                           A'.sub.1 = -1.38224 × 10.sup.-1                                                            A".sub.1 = 4.87097 × 10.sup.-2                         A'.sub.2 = -8.56090 × 10.sup.-1                                                            A".sub.2 = -7.56137 × 10.sup.-1                        A'.sub.3 = 4.77223 × 10.sup.-1                                                             A".sub.3 = 3.28870 × 10.sup.-1                         A'.sub.4 = -1.07980 × 10.sup.-1                                                            A".sub.4 = -6.18287 × 10.sup.-2                        A'.sub.5 = 1.12726 × 10.sup.-2                                                             A".sub.5 = 5.58413 × 10.sup.-3                         A'.sub.6 = -4.47482 × 10.sup.-4                                                            A".sub.6 = -1.98243 × 10.sup.-4                        for a proximity addition of 2 D:                                               A'.sub.0 = 2.02242                                                                               A".sub.0  = 2.48815                                          A'.sub.1 = -6.40349 × 10.sup.-1                                                            A".sub.1 = 1.68157 × 10.sup.-1                         A'.sub.2 = -5.33753 × 10.sup.-1                                                            A".sub.2 = -1.19876                                          A'.sub.3 = 3.45296 × 10.sup.-1                                                             A".sub.3 = 5.83726 × 10.sup.-1                         A'.sub.4 = -7.89597 × 10.sup.-2                                                            A".sub.4 = -1.24851 × 10.sup.-1                        A'.sub.5 = 8.16828 × 10.sup.-3                                                             A".sub.5 = 1.27178 × 10.sup.-2                         A'.sub.6 = -3.20478 × 10.sup.-4                                                            A".sub.6 = -5.00502 × 10.sup.-4                        for a proximity addition of 2.5 D:                                             A'.sub.0 = 2.48274                                                                               A".sub.0 = 2.97168                                           A'.sub.1 = -8.68865 × 10.sup.-1                                                            A".sub.1 = -2.69412 × 10.sup.-1                        A'.sub.2 = -3.88790 × 10.sup.-1                                                            A".sub.2 = -8.19247 × 10.sup.-1                        A'.sub.3 = 2.79778 × 10.sup.-1                                                             A".sub.3 = 4.23097 × 10.sup.-1                         A'.sub.4 = -6.48836 × 10.sup.-2                                                            A".sub.4 = -9.28940 × 10.sup.-2                        A'.sub.5 = 6.77817 × 10.sup.-3                                                             A".sub.5 = 9.73358 × 10.sup.-3                         A'.sub.6 = -2.68852 × 10.sup.-4                                                            A".sub.6 = -3.94207 × 10.sup.-4                        for a proximity addition of 3 D:                                               A'.sub.0 = 3.20707                                                                               A".sub.0 = 3.72727                                           A'.sub.1 = -1.13298                                                                              A".sub.1 = -5.24234 × 10.sup.-1                        A'.sub.2 = -3.09307 × 10.sup.-1                                                            A".sub.2 = -7.92418 × 10.sup.-1                        A'.sub. 3 = 2.18484 × 10.sup.-1                                                            A".sub.3 = 4.14478 × 10.sup.-1                         A'.sub.4 = -4.43817 × 10.sup.-2                                                            A".sub.4 = -8.98178 × 10.sup.-2                        A'.sub.5 = 4.04925 × 10.sup.-3                                                             A".sub.5 = 9.32974 × 10.sup.-3                         A'.sub.6 = -1.42370 × 10.sup.-4                                                            A".sub.6 = -3.76612 × 10.sup.-4.                       ______________________________________                                    


4. Ophthalmic lens according to claim 3 wherein the nominal curve P_(nom) representing the nominal proximity substantially satisfies the following equation: ##EQU5## with the following coefficient values, subject to the same conditions as previously:for a proximity addition of 1.5 D: A₀ =1.74537 A₁ =-1.41485×10⁻² A₂ =-7.74395×10⁻¹ A₃ =3.78836×10⁻¹ A₄ =-7.92805×10⁻² A₅ =7.88011×10⁻³ A₆ =-3.03496×10⁻⁴ for a proximity addition of 2 D: A₀ =2.25360 A₁ =-9.83461×10⁻² A₂ =-1.05467 A₃ =5.47912×10⁻¹ A₄ =-1.18670×10⁻¹ A₅ =1.20372×10⁻² A₆ =-4.68919×10⁻⁴ for a proximity addition of 2.5 D: A₀ =2.72749 A₁ =-2.39063×10⁻¹ A₂ =-9.80544×10⁻¹ A₃ =5.14985×10⁻¹ A₄ =-1.13158×10⁻¹ A₅ =1.17328×10⁻² A₆ =-4.68365×10⁻⁴ for a proximity addition of 3 D: A₀ =3.47334 A₁ =-9.73082×10⁻¹ A₂ =-2.97809×10⁻¹ A₃ =1.70028×10⁻¹ A₄ =-3.05735×10⁻² A₅ =2.58076×10⁻³ A₆ =-8.78906×10⁻⁵
 5. Ophthalmic lens according to claim 2 wherein for a far vision area strengthened relative to the near vision area the coefficients A'_(i) and A"_(i) have substantially the following values:

    ______________________________________                                         for a proximity addition of 1.5 D:                                             A'.sub.0 = 1.97385                                                                               A".sub.0 = 2.61695                                           A'.sub.1 = -4.02882                                                                              A".sub.1 = -3.55654                                          A'.sub.2 = 2.96745                                                                               A".sub.2 = 2.28086                                           A'.sub.3 = -1.08765                                                                              A".sub.3 = -7.81238 × 10.sup.-1                        A'.sub.4 = 2.08906 × 10.sup.-1                                                             A".sub.4 = 1.46046 × 10.sup.-1                         A'.sub.5 = -2.00552 × 10.sup.-2                                                            A".sub.5 = -1.39278 × 10.sup.-2                        A'.sub.6 = 7.57585 × 10.sup.-4                                                             A".sub.6 = 5.27592 × 10.sup.-4                         for a proximity addition of 2 D:                                               A'.sub.0 = 2.75706                                                                               A".sub.0 = 3.39285                                           A'.sub.1 = -5.32047                                                                              A".sub.1 = -4.30158                                          A'.sub.2 = 3.78466                                                                               A".sub.2 = 2.36050                                           A'.sub.3 = -1.34501                                                                              A".sub.3 = -6.73486 × 10.sup.-1                        A'.sub.4 = 2.51944 × 10.sup.-1                                                             A".sub.4 = 1.05232 × 10.sup.-1                         A'.sub.5 = -2.37123 × 10.sup.-2                                                            A".sub.5 = -8.53634 × 10.sup.-3                        A'.sub.6 = 8.81836 × 10.sup.-4                                                             A".sub.6 = 2.81049 × 10.sup.-4                         for a proximity addition of 2.5 D:                                             A'.sub.0 = 3.83883                                                                               A".sub.0 = 4.62363                                           A'.sub.1 = -7.19032                                                                              A".sub.1 = -5.52815                                          A'.sub.2 = 5.10383                                                                               A".sub.2 = 2.82720                                           A'.sub.3 = -1.81741                                                                              A".sub.3 = -7.59493 × 10.sup.-1                        A'.sub.4 = 3.41628 × 10.sup.-1                                                             A".sub.4 = 1.13108 × 10.sup. -1                        A'.sub.5 = -3.22755 × 10.sup.-2                                                            A".sub.5 = -8.84934 × 10.sup.-3                        A'.sub.6 = 1.20462 × 10.sup.-3                                                             A".sub.6 = 2.83891 × 10.sup.-4                         for a proximity addition of 3 D:                                               A'.sub.0 = 4.20262                                                                               A".sub.0 = 4.97173                                           A'.sub.1 = -6.12634                                                                              A".sub.1 = -4.36934                                          A'.sub.2 = 3.56706                                                                               A".sub.2 = 1.30259                                           A'.sub.3 = -1.09381                                                                              A".sub.3 = -7.49894 × 10.sup.-2                        A'.sub.4 = 1.84148 × 10.sup.-1                                                             A".sub.4 = -3.14113 × 10.sup.-2                        A'.sub.5 = -1.60397 × 10.sup.-2                                                            A".sub.5 = 5.74923 × 10.sup.-3                         A'.sub.6 = 5.63484 × 10.sup.-4                                                             A".sub.6 = -2.84487 ×  10.sup.-4                       ______________________________________                                    


6. Ophthalmic lens according to claim 5 wherein the curve P_(nom) representing its nominal proximity substantially satisfies the equation: ##EQU6## with the coefficients having the following values given the same conditions as previously:for a proximity addition of 1.5 D: A₀ =2.26107 A₁ =-3.84574 A₂ =2.68329 A₃ =-9.50930×10⁻¹ A₄ =1.78502×10⁻¹ A₅ =-1.68366×10⁻² A₆ =6.26637×10⁻⁴ for a proximity addition of 2 D: A₀ =3.11044 A₁ =-4.89450 A₂ =3.08637 A₃ =-9.92432×10⁻¹ A₄ =1.71515×10⁻¹ A₅ =-1.51366×10⁻² A₆ =5.34658×10⁻⁴ for a proximity addition of 2.5 D: A₀ =4.13733 A₁ =-6.26355 A₂ =3.96435 A₃ =-1.30970 A₄ =2.34695×10⁻¹ A₅ =-2.15039×10⁻² A₆ =7.86718×10⁻⁴ for a proximity addition of 3 D: A₀ =4.61538 A₁ =-5.21075 A₂ =2.36892 A₃ =-5.47711×10⁻¹ A₄ =6.70385×10⁻² A₅ =-4.04791×10⁻³ A₆ =9.12504×10⁻⁵
 7. Pair of matched ophthalmic lenses for the same wearer, one for correcting the vision of the left eye and the other for correcting the vision of the right eye, wherein at least one of said ophthalmic lens is a simultaneous vision ophthalmic lens for correcting presbyopia wherein to define two distinct vision areas, a far vision area and a near vision area, the curve representing the proximity P as a function of the distance h from the axis lies within an area between a lower envelope curve P_(inf) and an upper envelope curve P_(sup) with associated specific polynomial equations in which the coefficients depend on the proximity addition corresponding to the degree of presbyopia of the wearer, and either the far vision area or the near vision area is strengthened relative to the other, the corresponding far and near vision surface areas S_(VL), S_(VP) being related as follows:for strengthened near vision:

    1.8≦S.sub.VL /S.sub.VP ≦3.6

and for strengthened far vision:

    4.75≦S.sub.VL /S.sub.VP


8. Pair of ophthalmic lenses according to claim 7 wherein the other ophthalmic lens is a standard ophthalmic lens with equivalent near and far vision areas.
 9. Pair of ophthalmic lenses according to claim 7 wherein the strengthened vision area is the same for both ophthalmic lenses.
 10. Pair of ophthalmic lenses according to claim 7 wherein the strengthened vision area is the near vision area for one lens and the far vision area for the other lens.
 11. Pair of ophthalmic lenses according to claim 7 wherein the lower envelope curve P_(inf) and the upper envelope curve P_(sup) for the proximity P satisfy the following polynomial equations: ##EQU7## in which P_(VL) is the proximity needed for far vision.
 12. Pair of ophthalmic lenses according to claim 11 wherein for a near vision area strengthened relative to the far vision area, the coefficients A'_(i) and A"_(i) have substantially the following values:

    ______________________________________                                         for a proximity addition of 1.5 D:                                             A'.sub.0 = 1.50491                                                                               A".sub.0 = 2.04007                                           A'.sub.1 = -1.38224 × 10.sup.-1                                                            A".sub.1 = 4.87097 × 10.sup.-2                         A'.sub.2 = -8.56090 × 10.sup.-1                                                            A".sub.2 = -7.56137 × 10.sup.-1                        A'.sub.3 = 4.77223 × 10.sup.-1                                                             A".sub.3 = 3.28870 × 10.sup.-1                         A'.sub.4 = -1.07980 × 10.sup.-1                                                            A".sub.4 = -6.18287 × 10.sup.-2                        A'.sub.5 = 1.12726 × 10.sup.-2                                                             A".sub.5 = 5.58413 × 10.sup.-3                         A'.sub.6 = -4.47482 × 10.sup.-4                                                            A".sub.6 = -1.98243 × 10.sup.-4                        for a proximity addition of 2 D:                                               A'.sub.0 = 2.02242                                                                               A".sub.0  = 2.48815                                          A'.sub.1 = -6.40349 × 10.sup.-1                                                            A".sub.1 = 1.68157 × 10.sup.-1                         A'.sub.2 = -5.33753 × 10.sup.-1                                                            A".sub.2 = -1.19876                                          A'.sub.3 = 3.45296 × 10.sup.-1                                                             A".sub.3 = 5.83726 × 10.sup.-1                         A'.sub.4 = -7.89597 × 10.sup.-2                                                            A".sub.4 = -1.24851 × 10.sup.-1                        A'.sub.5 = 8.16828 × 10.sup.-3                                                             A".sub.5 = 1.27178 × 10.sup.-2                         A'.sub.6 = -3.20478 × 10.sup.-4                                                            A".sub.6 = -5.00502 × 10.sup.-4                        for a proximity addition of 2.5 D:                                             A'.sub.0 = 2.48274                                                                               A".sub.0 = 2.97168                                           A'.sub.1 = -8.68865 × 10.sup.-1                                                            A".sub.1 = -2.69412 × 10.sup.-1                        A'.sub.2 = -3.88790 × 10.sup.-1                                                            A".sub.2 = -8.19247 × 10.sup.-1                        A'.sub.3 = 2.79778 × 10.sup.-1                                                             A".sub.3 = 4.23097 × 10.sup.-1                         A'.sub.4 = -6.48836 × 10.sup.-2                                                            A".sub.4 = -9.28940 × 10.sup.-2                        A'.sub.5 = 6.77817 × 10.sup.-3                                                             A".sub.5 = 9.73358 × 10.sup.-3                         A'.sub.6 = -2.68852 × 10.sup.-4                                                            A".sub.6 = -3.94207 × 10.sup.-4                        for a proximity addition of 3 D:                                               A'.sub.0 = 3.20707                                                                               A".sub.0 = 3.72727                                           A'.sub.1 = -1.13298                                                                              A".sub.1 = -5.24234 × 10.sup.-1                        A'.sub.2 = -3.09307 × 10.sup.-1                                                            A".sub.2 = -7.92418 × 10.sup.-1                        A'.sub. 3 = 2.18484 × 10.sup.-1                                                            A".sub.3 = 4.14478 × 10.sup.-1                         A'.sub.4 = -4.43817 × 10.sup.-2                                                            A".sub.4 = -8.98178 × 10.sup.-2                        A'.sub.5 = 4.04925 × 10.sup.-3                                                             A".sub.5 = 9.32974 × 10.sup.-3                         A'.sub.6 = -1.42370 × 10.sup.-4                                                            A".sub.6 = -3.76612 × 10.sup.-4.                       ______________________________________                                    


13. Pair of ophthalmic lens according to claim 12 wherein the nominal curve P_(nom) representing the nominal proximity substantially satisfies the following equation: ##EQU8## with the following coefficient values, subject to the same conditions as previously:for a proximity addition of 1.5 D: A₀ =1.74537 A₁ =-1.41485×10⁻² A₂ =-7.74395×10⁻¹ A₃ =3.78836×10⁻¹ A₄ =-7.92805×10⁻² A₅ =7.88011×10⁻³ A₆ =-3.03496×10⁻⁴ for a proximity addition of 2 D: A₀ =2.25360 A₁ =-9.83461×10⁻² A₂ =-1.05467 A₃ =5.47912×10⁻¹ A₄ =-1.18670×10⁻¹ A₅ =1.20372×10⁻² A₆ =-4.68919×10⁻⁴ for a proximity addition of 2.5 D: A₀ =2.72749 A₁ =-2.39063×10⁻¹ A₂ =-9.80544×10⁻¹ A₃ =5.14985×10⁻¹ A₄ =-1.13158×10⁻¹ A₅ =1.17328×10⁻² A₆ =-4.68365×10⁻⁴ for a proximity addition of 3 D: A₀ =3.47334 A₁ =-9.73082×10⁻¹ A₂ =-2.97809×10⁻¹ A₃ =1.70028×10⁻¹ A₄ =-3.05735×10⁻² A₅ =2.58076×10⁻³ A₆ =-8.78906×10⁻⁵
 14. Pair of ophthalmic lens according to claim 11 wherein for a far vision area strengthened relative to the near vision area the coefficients A'_(i) and A"_(i) have substantially the following values:

    ______________________________________                                         for a proximity addition of 1.5 D:                                             A'.sub.0 = 1.97385                                                                               A".sub.0 = 2.61695                                           A'.sub.1 = -4.02882                                                                              A".sub.1 = -3.55654                                          A'.sub.2 = 2.96745                                                                               A".sub.2 = 2.28086                                           A'.sub.3 = -1.08765                                                                              A".sub.3 = -7.81238 × 10.sup.-1                        A'.sub.4 = 2.08906 × 10.sup.-1                                                             A".sub.4 = 1.46046 × 10.sup.-1                         A'.sub.5 = -2.00552 × 10.sup.-2                                                            A".sub.5 = -1.39278 × 10.sup.-2                        A'.sub.6 = 7.57585 × 10.sup.-4                                                             A".sub.6 = 5.27592 × 10.sup.-4                         for a proximity addition of 2 D:                                               A'.sub.0 = 2.75706                                                                               A".sub.0 = 3.39285                                           A'.sub.1 = -5.32047                                                                              A".sub.1 = -4.30158                                          A'.sub.2 = 3.78466                                                                               A".sub.2 = 2.36050                                           A'.sub.3 = -1.34501                                                                              A".sub.3 = -6.73486 × 10.sup.-1                        A'.sub.4 = 2.51944 × 10.sup.-1                                                             A".sub.4 = 1.05232 × 10.sup.-1                         A'.sub.5 = -2.37123 × 10.sup.-2                                                            A".sub.5 = -8.53634 × 10.sup.-3                        A'.sub.6 = 8.81836 × 10.sup.-4                                                             A".sub.6 = 2.81049 × 10.sup.-4                         for a proximity addition of 2.5 D:                                             A'.sub.0 = 3.83883                                                                               A".sub.0 = 4.62363                                           A'.sub.1 = -7.19032                                                                              A".sub.1 = -5.52815                                          A'.sub.2 = 5.10383                                                                               A".sub.2 = 2.82720                                           A'.sub.3 = -1.81741                                                                              A".sub.3 = -7.59493 × 10.sup.-1                        A'.sub.4 = 3.41628 × 10.sup.-1                                                             A".sub.4 = 1.13108 × 10.sup. -1                        A'.sub.5 = -3.22755 × 10.sup.-2                                                            A".sub.5 = -8.84934 × 10.sup.-3                        A'.sub.6 = 1.20462 × 10.sup.-3                                                             A".sub.6 = 2.83891 × 10.sup.-4                         for a proximity addition of 3 D:                                               A'.sub.0 = 4.20262                                                                               A".sub.0 = 4.97173                                           A'.sub.1 = -6.12634                                                                              A".sub.1 = -4.36934                                          A'.sub.2 = 3.56706                                                                               A".sub.2 = 1.30259                                           A'.sub.3 = -1.09381                                                                              A".sub.3 = -7.49894 × 10.sup.-2                        A'.sub.4 = 1.84148 × 10.sup.-1                                                             A".sub.4 = -3.14113 × 10.sup.-2                        A'.sub.5 = -1.60397 × 10.sup.-2                                                            A".sub.5 = 5.74923 × 10.sup.-3                         A'.sub.6 = 5.63484 × 10.sup.-4                                                             A".sub.6 = -2.84487 ×  10.sup.-4.                      ______________________________________                                    


15. Pair of ophthalmic lens according to claim 14 wherein the curve P_(nom) representing its nominal proximity substantially satisfies the equation: ##EQU9## with the coefficients having the following values given the same conditions as previously:for a proximity addition of 1.5 D: A₀ =2.26107 A₁ =-3.84574 A₂ =2.68329 A₃ =-9.50930×10⁻¹ A₄ =1.78502×10⁻¹ A₅ =-1.68366×10⁻² A₆ =6.26637×10⁻⁴ for a proximity addition of 2 D: A₀ =3.11044 A₁ =-4.89450 A₂ =3.08637 A₃ =-9.92432×10⁻¹ A₄ =1.71515×10⁻¹ A₅ =-1.51366×10⁻² A₆ =5.34658×10⁻⁴ for a proximity addition of 2.5 D: A₀ =4.13733 A₁ =-6.26355 A₂ =3.96435 A₃ =-1.30970 A₄ =2.34695×10⁻¹ A₅ =-2.15039×10⁻² A₆ =7.86718×10⁻⁴ for a proximity addition of 3 D: A₀ =4.61538 A₁ =-5.21075 A₂ =2.36892 A₃ =-5.47711×10⁻¹ A₄ =6.70385×10⁻² A₅ =-4.04791×10⁻³ A₆ =9.12504×10⁻⁵ 